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Finding the Fourth Proportional to 217,020.24, 299,481.08 and 120,220.20

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Solution

The fourth proportional to 217,020.24, 299,481.08 and 120,220.20 is: 165,900.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,020.24 : 299,481.08 = 120,220.20 : x
  2. Step 2: Convert to fraction form
    217,020.24/299,481.08 = 120,220.20/x
  3. Step 3: Cross multiply
    217,020.24x = 299,481.08 × 120,220.20
  4. Step 4: Simplify right side
    217,020.24x = 36,003,674,732.72
  5. Step 5: Solve for x
    x = 36,003,674,732.72/217,020.24
  6. Step 6: Final answer
    x = 165,900.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.